We divide 642343 by 88
We're looking to find how many times 88 goes into 642343.

Step 1:
6 divided by 88 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 88

Step 2:
88 can be fit into 64 0 times, resulting in a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Grab the next digit (2) from the dividend, add it to 64, then carry on: 642 / 88

Moving on to step 3:
The number 88 fits into 642 7 times, leaving a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 616 from 642 and we're left with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 88

Advancing to step 4:
263 divided by 88 is 2 with a remainder of 87.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Deduct 176 from 263 and we're left with 87.
Grab the next digit (4) from the dividend, add it to 87, then carry on: 874 / 88

Moving on to step 5:
874 divided by 88 is 9 with a remainder of 82.
The next digit of our result is 9. 
Result so far: 729.0
Subtract 792 from 874 to get 82.
Include the next digit (3) from the dividend after 82, then repeat: 823 / 88

Going ahead to step 6:
The number 88 fits into 823 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 7299.0
The remainder is 31 after subtracting 792 from 823.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
310 divided by 88 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 7299.3
If we take 264 away from 310, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
When dividing 460 by 88, we get 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 7299.35
If we subtract 440 from 460, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 88, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 7299.352
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
240 divided by 88 is 2 with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 7299.3522
Subtract 176 from 240 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 7299.3522, and the remainder is 0.00064.